Publications

(Some papers can be downloaded from this web page. The Copyright of published versions has been transferred to publishers.)

2024

  • M.Macák, K.Mikula, Z.Minarechová, R.Čunderlík, Solving the gradiometric boundary value problem by the finite element method.  Proceedings Of The Conference Algoritmy, 2024, 26 – 35. (link to the paper)

2023

  • M.Macák, Z.Minarechová, R.Čunderlík, K.Mikula, A gravity field modelling in mountainous areas by solving the nonlinear satellite-fixed geodetic boundary value problem with the finite element method.  Acta Geodaetica et Geophysica (2023). https://doi.org/10.1007/s40328-023-00418-7 (pdf file) (link to the paper)
  • M. Macák, Z. Minarechová, L. Tomek, R. Čunderlík, K. Mikula. Solving the fixed gravimetric boundary value problem by the finite element method using mapped infinite elements. Computational Geosciences (2023). https://doi.org/10.1007/s10596-023-10224-3 (pdf file) (link to the paper)

2021

  • Z.Minarechová, M.Macák, R.Čunderlík, K.Mikula, On the finite element method for solving the oblique derivative boundary value problems and its application in local gravity field modelling. Journal of Geodesy, Vol. 95, 70 (2021). (pdf file) (link to the paper)
  • M.Macák, R.Čunderlík, K.Mikula, Z.Minarechová,Computational optimization in solving the geodetic boundary value problems, Discrete & Continuous Dynamical Systems – S, 2021, 14 (3) : 987-999. (link to the paper)

2020

  • M.Macák, Z.Minarechová, R.Čunderlík, K.Mikula, The finite element method as a tool to solve the oblique derivative boundary value problem in geodesy (2020) TMMP, Vol 75, Issue 1 (pdf file) (link to the paper)

2018

  • R.Čunderlík, K.Mikula, Z.Minarechová, M.Macák, Numerical Methods for Solving the Oblique Derivative Boundary Value Problems in Geodesy, In: Freeden W., Rummel R. (eds) Handbuch der Geodäsie. Springer Reference Naturwissenschaften. Springer Spektrum, Berlin, Heidelberg, pp. 1-48. (pdf file) (link to the paper)
  • R.Čunderlík, M.Macák, M.Medľa, K.Mikula, Z.Minarechová, Computational Methods for High-Resolution Gravity Field Modeling, In: Grafarend E. (eds) Encyclopedia of Geodesy. Encyclopedia of Earth Sciences Series. Springer, Cham, 2018, ISBN: 978-3-319-02370-0 (pdf file) (link to the paper)

2016

  • M.Macák, K.Mikula, Z.Minarechová, R.Čunderlík, On an iterative approach to solving the nonlinear satellite-fixed geodetic boundary-value problem, VIII Hotine-Marussi Symposium on Mathematical Geodesy, Volume 142 of the series International Association of Geodesy Symposia, pp 185-192, 2016 (pdf file) (link to the paper)
  • L. Sanchez, R. Čunderlík, N. Dayoub, K. Mikula, Z. Minarechová, Z. Šíma, V. Vatrt, M. Vojtiškova, A conventional value for the geoid reference potential W0, Journal of Geodesy, Vol. 90, Issue 9 (2016) pp. 815–835 ( pdf file ) (link to the paper)

2015

  • M.Macák, R.Čunderlík, K.Mikula, Z.Minarechová, An upwind-based scheme for solving the oblique derivative boundary-value problem related to physical geodesy, Journal of Geodetic Sciences, Vol. 5 (2015) pp. 180-188 (pdf file) (link to the paper)
  • Z. Minarechová, M.Macák, R.Čunderlík, K.Mikula, High-resolution global gravity field modelling by the finite volume method, Studia Geophysica et Geodaetica, Vol. 59 (2015) pp. 1-20 (pdf file) (link to the paper)

2014

  • M.Macák, Z.Minarechová, K.Mikula, A novel scheme for solving the oblique derivative boundary-value problem, Studia Geophysica et Geodaetica, Vol. 58 (2014) pp. 556-570 (pdf file) (link to the paper)
  • J. Janák, M. Pitoňák, Z. Minarechová, Regional quasigeoid from GOCE and terrestrial measurements, Studia geophysica et geodaetica, Vol. 58, no. 4 (2014), s. 626-649. ISSN 0039-3169 (pdf file) (link to the paper)
  • L. Sanchez, N. Dayoub, R. Čunderlík, Z. Minarechová, K. Mikula, V. Vatrt, M. Vojtišková, Z. Šíma, W0 estimates in the frame od the GGOS working group on vertical Datum Standardisation (2014) International Association of Geodesy Symposia, 141, 203-210 (link to the paper)
  • R. Čunderlík, Z. Minarechová, K. Mikula, Realization of WHS based on the static gravity field observed by GOGE (2014) International Association of Geodesy Symposia, 141, 211-220 (link to the paper)

2013

  • Z.Fašková, R. Čunderlík, K.Mikula, R. Tenzer, Influence of Vertical Datum Inconsistencies on Gravity Field Modelling (2013) International Association of Geodesy Symposia, 138, 205-213 (link to the paper)

2012

  • M. Macák, K. Mikula, Z. Minarechová, Solving the oblique derivative boundary-value problem by the finite volume method, ALGORITMY 2012, 19th Conference on Scientific Computing, Podbanske, Slovakia, September 9-14, 2012, Proceedings of contributed papers and posters (Eds. A.Handlovicova, Z.Minarechova, D.Sevcovic), ISBN 978-80-227-3742-5, Publishing House of STU, 2012, pp. 75-84 (pdf file)
  • Z.Fašková, R. Čunderlík, K.Mikula, Finite Elements Solutions of Boundary Value Problems Relevant to Geodesy (2012) International Association of Geodesy Symposia, 137, 205-209 (link to the paper)
  • R. Čunderlík, Z.Fašková, K.Mikula, Fixed gravimetric BVP for the vertical datum problem (2012) International Association of Geodesy Symposia, 136, 333-341 (link to the paper)

2011

  • M.Šprlák, Z.Fašková, K.Mikula, On the application of the coupled finite-infinite element method to the geodetic boundary value problem, Studia Geophysica et Geodaetica, Vol. 55 (2011) pp. 479-487 (pdf file) (link to the paper)

2010

  • Z.Fašková, R.Čunderlík, K.Mikula, Finite element method for solving geodetic boundary value problems, Journal of Geodesy, Vol. 84, Issue 2 (2010) pp 135-144 (pdf file) (link to the paper)
  • Z.Fašková, R.Čunderlík, K.Mikula, On Finite Element and Finie Volume Methods and Their application in Regional Gravity Field Modeling (2010) International Association of Geodesy Symposia, 135, pp 421-426 (link to the paper)
  • J.Janák, S. Slovík, Z.Fašková, K.Mikula, Disturbing potential and its geometrical properties, Slovak Journal of Civil Engineering, Vol. 18, Issue 3, pp 27-32 (link to the paper)

2007

  • Z.Fašková, R.Čunderlík, J.Janák, K.Mikula, M.Šprlák, Gravimetric quasigeoid in Slovakia by the finite element method, Kybernetika, Vol. 43, No. 6(2007) pp. 789-796 (pdf file)